Structural Analysis: An Introduction

Name: Structural Analysis: An Introduction
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Fundamentals of Structural Engineering and Analysis | Analysis of Structures | Beams, Columns & Struts and Trusses

Created byBaskar P

Last updated 11/2023

English

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What you'll learn

Engineering principles and basic concepts of structural analysis.
Conditions of equilibrium for a structure.
Different types of loads and moments that act on a structure.
Different types of beams, supports and reactions.
Analysis of Trusses and Frames.
Shear force and bending moment diagrams.

Course content

7 sections • 50 lectures • 5h 5m total length

Welcome to the Course - Structural Analysis2:37
Introduction to the Course - Structural Analysis2:37

Force Systems11:58
Lami's Theorem1:41
Lami's theorem states that for three concurrent forces in equilibrium, each force is proportional to the sine of an angle, giving A/sin alpha = B/sin beta = C/sin gamma.
Parallelogram Law of Forces2:15
Composition and Resolution of Forces7:28
Learn how to compose forces to obtain the resultant and resolve any force into x and y components using sign conventions, parallelogram and triangle laws.
Moment of a Force and Force and Couple System5:34
Equilibrium Conditions0:47
Identify equilibrium conditions for a rigid body under a system of forces by ensuring algebraic sum of forces is zero and algebraic sum of moments is zero.
Numerical Example - 1 - Light Fixture-13:48
Numerical Example - 2 - Light Fixture-28:04
Study a string with W1 and W2 over a smooth peg to determine W1, W2, tensions in ab, bc, cd, and peg reaction using equilibrium and Lami’s theorem.
Numerical Example - 3-Resolution-Eye Bolt4:03
Determine the resultant of the system of forces as shown in Fig.
Numerical Example - 4-Method of Resolution4:08
Resolve the three forces on a particle to satisfy equilibrium, and determine force F’s magnitude and angle theta, yielding F = 5.8 kN and theta ≈ 22.2 degrees.
Numerical Example - 5-Resultant Force-15:56
Numerical Example - 56:10
Resolve each force into its x and y components and sum them to form the resultant. Compute the magnitude and direction: 115.95 N at 83.5 degrees toward the negative x-axis.
Parallelogram Law of Forces - Theory7:28
Determine the resultant of the system of forces as shown in Fig.
Numerical Example - 7 - Eye Bolt - Parallelogram Law of Forces4:17
Apply the parallelogram law of forces to 20 N and 40 N inclined 10° to the x and y axes, giving a 50.47 N resultant at 48.1° from force P.
Numerical Example - 7 - Eye Bolt - Method of Resolution5:06
Determine the resultant of the system of forces as shown in Fig.
Numerical Example-Method of Resolution4:37
Determine the resultant force of the system of forces acting on an eye bolt as shown in Fig.
Static Equilibrium - Force and Moment

Types of Supports, Reactions, Beams, and Loads3:45
At the end of this lecture, you will be able to demonstrate the conditions of equilibrium, types of supports, reactions, beams, and loads.
Numerical Example - 14:57
Compute support reactions for a simply supported beam under multiple loads using vertical force and moment equilibrium, yielding RB = 13.86 kN and RA = 26.14 kN.
Numerical Example - 23:53
Numerical Example - 311:25
Numerical Lecture - 54:00
Find the reactions at the supports of an overhanging beam as shown in Fig.
Numerical Example11:50
Find the reactions at the supports of an overhanging beam as shown in Fig.

Introduction to Shear Force and Bending Moment10:14
E
Numerical Example - Cantilever Beam6:01
Draw the shear force and bending moment diagrams for a cantilever beam loaded as shown in Fig.
Numerical Example - Cantilever Beam9:16
Draw the shear force and bending moment diagrams for a cantilever beam loaded as shown in Fig.
Numerical Example - Cantilever Beam7:19
Draw the shear force and bending moment diagrams for a cantilever beam loaded as shown in Fig.
Numerical Example - Cantilever Beam7:21
Draw the shear force and bending moment diagrams for the cantilever beam loaded as shown in Fig.
Numerical Example - Cantilever Beam - Part-15:28
Draw the shear force and bending moment diagrams for the cantilever beam loaded as shown in Fig.
Numerical Example - Cantilever Beam - Part-23:56
Draw the shear force and bending moment diagrams for the cantilever beam loaded as shown in Fig.
Numerical Example - Cantilever Beam7:44
Draw the shear force and bending moment diagrams for the cantilever beam loaded as shown in Fig.
Numerical Example - Simply Supported Beam-15:12
Draw the shear force and bending moment diagrams for the simply supported beam loaded as shown in Fig.
Numerical Example - Simply Supported Beam-27:34
Draw the shear force and bending moment diagrams for the simply supported beam loaded as shown in Fig.
Numerical Example8:51
E
Numerical Example11:50
E
Numerical Example - Overhanging Beam10:35
Numerical Example - Overhanging Beam - Part-13:14
Draw the shear force and bending moment diagrams for the overhanging beam loaded as shown in Fig.
Numerical Example - Overhanging Beam - Part-26:32
Draw the shear force and bending moment diagrams for the overhanging beam loaded as shown in Fig.
Numerical Example - Overhanging Beam - Part-33:23
Draw the shear force and bending moment diagrams for the overhanging beam loaded as shown in Fig.

Numerical Example-12:09
A steel wire is subjected to an axial tensile load of 10 kN. Find its diameter if the allowable stress is not to exceed 100 MPa.
Example - Stress, Strain and Elongation5:33
A steel rod of diameter 20mm is subjected to a tensile load of 20kN. If the length of the rod is 1.5m, find the stress, strain, and elongation of the rod. Take: E = 200GPa.
Example - Cast Iron Column3:57
A short hollow, cast iron column with a wall thickness of 10 mm is to carry a compressive load of 100 kN. Determine the required outside diameter 'D', if the working stress in compression is 80 N/mm2.
Numerical Example - Compound Tube_Brass and Steel13:09
A compound tube consists of a brass tube of external diameter 200 mm and internal diameter 180 mm and a steel tube of external diameter 180 mm and internal diameter 160 mm. The length of both the tubes is 150 mm. The compound tube is subjected to and an axial load of 1000 N. Determine the load and stress carried by each tube and the deformation of the compound tube. Take: Es = 200 GPa and Eb = 100 GPa.
Example - Compound Bar - Aluminium, Copper and Zinc10:56
Three bars made of aluminium, copper and zinc are of equal length and have cross-sectional area of 1000 mm2, 500 mm2, and 750 mm2 respectively. All the three bars are rigidly fixed at their ends and subjected to and axial pull of 250 kN. Determine the load carried by each bar and the induced stresses. Take: Ea = 80 GPa; Ec = 130 GPa; Ez = 100 GPa.

Introduction to Columns and Struts6:40
Explore the behavior of columns and struts under axial compression, distinguishing short-column crushing from long-column buckling, and introducing Euler's theory, assumptions, and end conditions.
Numerical Example - Steel Tube - Strut - Both Ends Hinged4:21
A circular hallow steel tube of external diameter 50mm, internal diameter 40mm and length 6m is used as a strut with both ends hinged. Considering the factor of safety as 3, find the safe load. Take the modulus of elasticity of steel as 200GPa.
Numerical Example - Column - Safe Load that can be carried6:42
A hollow cast iron column's numerical example calculates cross-sectional area, moment of inertia, and radius of gyration to determine the crippling and safe load.
Numerical Example - Hollow Cast Iron Column-17:41

Requirements

Basic understanding of Mathematics and Physics.
Pen, Notebook, Scientific calculator, and laptop/computer/smart phone with stable internet connection.
Few hours of time with full concentration and interest to learn the concepts.

Description

What is Structural Analysis?

Structural Analysis, or Analysis of Structures is a branch of Mechanics of Solids used for predicting the behavior of structures like buildings, bridges, arches, towers, cables, automobiles, aircraft, and marine structures when they are subjected to some forces.

What will you gain from this course?

This course covers the following:

fundamental concepts, static equilibrium, different types of beams, supports, loads, and reactions, truss analysis, shear force and bending moment diagrams, stresses and strains, and columns and struts.

Basic Concepts: Outline of Structural Analysis, definition, and scope.
Static Equilibrium: Principle of Superposition of Forces, Resolution of Forces, Parallelogram Law of Forces, Lami's Theorem, Equilibrium of a Particle, and Free-body Diagram. Internal Forces, External Forces, and Principle of Transmissibility, Moment of a Force-Concept; Varignon's Theorem and Couple, Resolution of a force into force and couple system of forces.
Beams, Supports, and Reactions: Free-body Diagram, Equilibrium, and Conditions of Equilibrium, and determination of support reactions for cantilever beams, simply supported beams and overhanging beams.
Analysis of Trusses: Important Definitions, Types of trusses, Assumptions made for force analysis, identification of zero-force member, Easy steps to solve the problems on trusses, Determination of internal forces in the members of trusses by the method of joints and method of section.
Shear Force and Bending Moment Diagrams: Important Definitions, Estimation of shear force and bending moment at the salient points of various types of beams subjected to different loading conditions.
Stresses and Strains: Simple, compound, and thermal stresses, Types of stresses and strains, Poisson's ratio, Elastic constants, and Principal stresses.
Columns and Struts: Important definitions, Types of end conditions, Rankine's formula, and Euler's formula.

This course also includes solved numerical examples, interactive quizzes, and assignments/exercises in each section for self-evaluation.

The numerical examples are solved in a step-by-step process, explained with clear concepts so that the students will be able to understand without any ambiguity.

Also, this course provides downloadable study materials in pdf format for future reference. The exercises are solved and provided with the answers.

What support will you get?

You will get answers to your questions, doubts, and clarifications within 24 hours.

Who this course is for:

Undergraduate Civil, Mechanical, Structural, Aeronautical Engineering students.
Undergraduate Architecture students.
Postgraduate Engineering students of above disciplines.
Practicing engineers, consultants and others who want to refresh their knowledge on Structural Analysis.
Fresh engineering graduates who are appearing for competitive examinations and job interviews.

Structural Analysis: An Introduction

What you'll learn

Explore related topics

Course content

Introduction2 lectures • 5min

Static Equilibrium - Force and Moment16 lectures • 1hr 23min

Beams, Supports, and Reactions6 lectures • 40min

Analysis of Trusses1 lecture • 2min

Shear Force and Bending Moment Diagrams16 lectures • 1hr 55min

Stresses and Strains5 lectures • 36min

Columns and Struts4 lectures • 25min

Requirements

Description

Who this course is for: